What is the Greatest Common Factor of 58164 and 58177?

Greatest common factor (GCF) of 58164 and 58177 is 1.

GCF(58164,58177) = 1

We will now calculate the prime factors of 58164 and 58177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58164 and 58177.

How to find the GCF of 58164 and 58177?

We will first find the prime factorization of 58164 and 58177. After we will calculate the factors of 58164 and 58177 and find the biggest common factor number .

Step-1: Prime Factorization of 58164

Prime factors of 58164 are 2, 3, 37, 131. Prime factorization of 58164 in exponential form is:

58164 = 2² × 3¹ × 37¹ × 131¹

Step-2: Prime Factorization of 58177

Prime factors of 58177 are 7, 8311. Prime factorization of 58177 in exponential form is:

58177 = 7¹ × 8311¹

Step-3: Factors of 58164

List of positive integer factors of 58164 that divides 58164 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 131, 148, 222, 262, 393, 444, 524, 786, 1572, 4847, 9694, 14541, 19388, 29082

Step-4: Factors of 58177

List of positive integer factors of 58177 that divides 58164 without a remainder.

1, 7, 8311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58164 and 58177. The biggest common factor number is the GCF number.
So the greatest common factor 58164 and 58177 is 1.

Also check out the Least Common Multiple of 58164 and 58177